2022
DOI: 10.48550/arxiv.2202.05586
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Fragmentation Functions for $Ξ^-/\barΞ^+$ Using Neural Networks

Abstract: We present a determination of fragmentation functions (FFs) for the octet baryon Ξ − / Ξ+ from data for single inclusive electron-positron annihilation. Our parametrization in this QCD analysis is provided in terms of a Neural Network (NN). We determine fragmentation functions for Ξ − / Ξ+ at next-to-leading order and for the first time at next-to-next-to-leading order in perturbative QCD. We discuss the improvement of higher-order QCD corrections, the quality of fit, and the comparison of our theoretical resu… Show more

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Cited by 2 publications
(3 citation statements)
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“…There are a few ways to minimize a χ 2 function in a QCD fit which is based on Neural Network; one that readily comes to mind is explicit differentiation and calculation of global minimum directly, this approach is inefficient and sometimes straight impossible. It is therefore natural to look for numerical methods such as genetic algorithm used by NNPDF for PDFs [47], stochastic gradient descent methods used by nNNPDF for nuclear PDFs [48], and trustregion methods as provided by Ceres Solver [49] and utilized by MAPFF [23] and SHKS22 [37]. In this analysis, we adopt the later method which is implemented in the MontBlanc package [36].…”
Section: A Minimization and Uncertainty Propagation Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…There are a few ways to minimize a χ 2 function in a QCD fit which is based on Neural Network; one that readily comes to mind is explicit differentiation and calculation of global minimum directly, this approach is inefficient and sometimes straight impossible. It is therefore natural to look for numerical methods such as genetic algorithm used by NNPDF for PDFs [47], stochastic gradient descent methods used by nNNPDF for nuclear PDFs [48], and trustregion methods as provided by Ceres Solver [49] and utilized by MAPFF [23] and SHKS22 [37]. In this analysis, we adopt the later method which is implemented in the MontBlanc package [36].…”
Section: A Minimization and Uncertainty Propagation Methodsmentioning
confidence: 99%
“…The code is an open-source package that provides a framework for the determination of the FFs, for many different kinds of analyses in QCD. So far, it has been developed to determine the FFs of the pion from experimental data for SIA and SIDIS data sets [23], and in our most recent study to determine the fragmentation functions of Ξ − / Ξ+ [37].…”
mentioning
confidence: 99%
“…A milestone in deepening our understanding of tetraquark fragmentation will rely upon comparing predictions from our TQHL1.0 FFs with ones based on functions extracted from global data. Along this direction, artificial-intelligence techniques already adapted to address the collinear fragmentation of lighter-hadron species [438][439][440][441][442][443][444][445] will be an asset.…”
Section: Final Remarksmentioning
confidence: 99%